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Finding the Third Proportional to 8,719.50 and 13,099

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Solution

The third proportional to 8,719.50 and 13,099 is: 19,678.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,719.50 : 13,099 = 13,099 : x
  2. Step 2: Convert to fraction form
    8,719.50/13,099 = 13,099/x
  3. Step 3: Cross multiply
    8,719.50x = 13,099 × 13,099
  4. Step 4: Simplify right side
    8,719.50x = 171,583,801
  5. Step 5: Solve for x
    x = 171,583,801/8,719.50
  6. Step 6: Final answer
    x = 19,678.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.